Analysis of Cross-diffusion Systems for Fluid Mixtures Driven by a Pressure Gradient PDF Download
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Author: Pierre-Étienne Druet
Publisher:
ISBN:
Category :
Languages : en
Pages :
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Book Description
The convective transport in a multicomponent isothermal compressible fluid subject to the mass continuity equations is considered. The velocity is proportional to the negative pressure gradient, according to Darcy’s law, and the pressure is defined by a state equation imposed by the volume extension of the mixture. These model assumptions lead to a parabolic-hyperbolic system for the mass densities. The global-in-time existence of classical and weak solutions is proved in a bounded domain with no-penetration boundary conditions. The idea is to decompose the system into a porous-medium-type equation for the volume extension and transport equations for the modified number fractions. The existence proof is based on parabolic regularity theory, the theory of renormalized solutions, and an approximation of the velocity field.
Author: Pierre-Étienne Druet
Publisher:
ISBN:
Category :
Languages : en
Pages :
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Book Description
The convective transport in a multicomponent isothermal compressible fluid subject to the mass continuity equations is considered. The velocity is proportional to the negative pressure gradient, according to Darcy’s law, and the pressure is defined by a state equation imposed by the volume extension of the mixture. These model assumptions lead to a parabolic-hyperbolic system for the mass densities. The global-in-time existence of classical and weak solutions is proved in a bounded domain with no-penetration boundary conditions. The idea is to decompose the system into a porous-medium-type equation for the volume extension and transport equations for the modified number fractions. The existence proof is based on parabolic regularity theory, the theory of renormalized solutions, and an approximation of the velocity field.
Author:
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ISBN:
Category : Mechanics, Applied
Languages : en
Pages : 568
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Book Description
Author: David E. Sadava
Publisher: Macmillan
ISBN: 9780716778936
Category : Science
Languages : en
Pages : 388
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Book Description
Especially helpful for AP Biology students each chapter of the study guide offers a variety of study and review tools. The contents of each chapter are broken down into both a detailed review of the Important Concepts covered and a boiled-down Big Picture snapshot. The guide also covers study strategies, common problem areas, and provides a set of study questions (both multiple-choice and short-answer).
Author:
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Category : Energy development
Languages : en
Pages : 192
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Author: Britton Chance
Publisher: Elsevier
ISBN: 1483271714
Category : Science
Languages : en
Pages : 413
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Book Description
Rapid Mixing and Sampling Techniques in Biochemistry focuses on the applications of rapid reaction techniques to biochemical problems, including mechanical disturbance, cavitation, and spectroscopic evaluation. The selection first offers information on flash photographs of jet collision phenomena, curved coaxial mixer with two circular inlet channels, and ten jet mixers. Topics include cavitation and mechanical disturbance, efficiency of mixing, operation of the flow apparatus, and mixing tests. The book also ponders on cavitation in rapid flow apparatuses, as well as avoidance of cavitation and description of the flow apparatus. The publication takes a look at ball mixers, multiple rapid mixing of micro-samples by a gun-type projection system and its rapid spectroscopic evaluation, and thermal stopped-flow apparatus. The book also elaborates on pulsed flow apparatus, photochemical activation apparatus using flash tubes, and experimental evaluation of the Bray rapid freezing- technique. The selection is a valuable source of data for readers interested in rapid mixing and sampling techniques.
Author:
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Category : Fluids
Languages : en
Pages : 1060
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Book Description
Publishes papers that report results of research in statistical physics, plasmas, fluids, and related interdisciplinary topics. There are sections on (1) methods of statistical physics, (2) classical fluids, (3) liquid crystals, (4) diffusion-limited aggregation, and dendritic growth, (5) biological physics, (6) plasma physics, (7) physics of beams, (8) classical physics, including nonlinear media, and (9) computational physics.
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Category : Hydrology
Languages : en
Pages : 568
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Book Description
Author: Dongqing Li
Publisher: Springer Science & Business Media
ISBN: 0387324682
Category : Technology & Engineering
Languages : en
Pages : 2242
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Book Description
Covering all aspects of transport phenomena on the nano- and micro-scale, this encyclopedia features over 750 entries in three alphabetically-arranged volumes including the most up-to-date research, insights, and applied techniques across all areas. Coverage includes electrical double-layers, optofluidics, DNC lab-on-a-chip, nanosensors, and more.
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Category : Aeronautics
Languages : en
Pages : 994
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Author: United States. National Bureau of Standards
Publisher:
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Category : Chemistry
Languages : en
Pages : 572
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